{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 15: Scikit-Learn\n",
    "### Notebook 3: Transformations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from sklearn.linear_model import Ridge\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(44)\n",
    "moon_data = make_moons(n_samples=100, noise=.2)\n",
    "training_samples = moon_data[0]\n",
    "train_x = training_samples[:,0]\n",
    "train_y = training_samples[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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WU080kuYeAUB2IbgCNiEEuU9Bbp6C/lxDbYN+vybkBtLcIwDILgRXwCaEIPcJ+HwqL5pq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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e048860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "plt.scatter(train_x, train_y, color='#007F77', s=60)\n",
    "plt.title('original data')\n",
    "file_helper.save_figure('scaling-start')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mm_scaler = MinMaxScaler()\n",
    "mm_scaler.fit(training_samples)\n",
    "transformed_training_samples = mm_scaler.transform(training_samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sV199hVdeeQWnTp1Cz5498eyzz6Jnz55KF4ko5ByCgIpaW8A3qUBauFppFZOy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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e0484e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,5))\n",
    "plt.scatter(transformed_training_samples[:,0], transformed_training_samples[:,1], color='#007F77', s=60)\n",
    "plt.title(\"MinMaxScaler transformed data\")\n",
    "file_helper.save_figure('scaling-fits')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0iIQQYhI0OYuo4Lp4gNvMHdVlAs1tmrmD6+KudT+ycbINhxzIxsoWZaVhdPRB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11eee9550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "test_moon_data = make_moons(n_samples=100, noise=0.05)\n",
    "\n",
    "test_samples = test_moon_data[0]\n",
    "test_samples = np.array([[ts[0]*2, ts[1]*.6] for ts in test_samples])\n",
    "test_x = test_samples[:,0]\n",
    "test_y = test_samples[:,1]\n",
    "\n",
    "transformed_test_samples = mm_scaler.transform(test_samples)\n",
    "\n",
    "plt.figure(figsize=(8,4))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(test_x, test_y, color='#7F3900', s=40)\n",
    "plt.title('test data')\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(transformed_test_samples[:,0], transformed_test_samples[:,1], color='#7F3900', s=10)\n",
    "plt.plot([0,1], [0,0], color='black')\n",
    "plt.plot([1,1], [0,1], color='black')\n",
    "plt.plot([0,1], [1,1], color='black')\n",
    "plt.plot([0,0], [0,1], color='black')\n",
    "plt.title(\"MinMaxScaler transformed test data\")\n",
    "\n",
    "file_helper.save_figure('scaling-test-pair')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "num_pts = 100\n",
    "noise_range = 0.2\n",
    "sine_x_vals = []\n",
    "sine_y_vals = []\n",
    "(sine_x_left, sine_x_right) = (.9, 5.5)\n",
    "sine_training_samples = []\n",
    "for i in range(num_pts):\n",
    "    x = np.random.uniform(sine_x_left, sine_x_right)\n",
    "    y = np.random.uniform(-noise_range, noise_range) + (2*math.sin(x))\n",
    "    sine_x_vals.append(x)\n",
    "    sine_y_vals.append(y)\n",
    "    \n",
    "sine_samples = list(zip(sine_x_vals, sine_y_vals))\n",
    "\n",
    "mm_scaler = MinMaxScaler()\n",
    "mm_scaler.fit(sine_samples)\n",
    "transformed_sine_samples = mm_scaler.transform(sine_samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fNHBHvcdZcl1FVKDFk+O1gbEgtwh5h64ia+Zh3WeFebexuuMH+Gv0Rqzu+AEK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\nDcMoEREREUnzH2ho5Iz/5N2zAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fb8d4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(sine_x_vals, sine_y_vals, color='#70008A', s=10)\n",
    "plt.locator_params(axis='x', nbins=4)\n",
    "plt.title('starting data')\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(transformed_sine_samples[:,0], transformed_sine_samples[:,1], color='#70008A', s=10)\n",
    "plt.locator_params(axis='x', nbins=4)\n",
    "plt.title(\"transformed\")\n",
    "\n",
    "file_helper.save_figure('inverse-demo-1')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ridge_estimator = Ridge()\n",
    "sine_x_column = np.array(transformed_sine_samples[:,0]).reshape(-1, 1)\n",
    "ridge_estimator.fit(sine_x_column, transformed_sine_samples[:,1])\n",
    "\n",
    "sine_y_left = ridge_estimator.predict(0)\n",
    "sine_y_right = ridge_estimator.predict(1)\n",
    "\n",
    "line_data = [[0, sine_y_left], [1, sine_y_right]]\n",
    "inverse_line = mm_scaler.inverse_transform(line_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Nyc3Nxc2bNzF69Ghed5e6deuiYcOGOHfuHAYPHoyrV6+iWbNmqFKlCrdP06ZNUadOnVJ9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jwYRqNR6vSIKMyxDSGiAiqv1+sV6808Hg8WLFiADz/8EGq1Gv3798fEiRN9f+/SpQv+85//YNy4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11eed9080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "           \n",
    "plt.subplot(1, 3, 1)\n",
    "plt.scatter(transformed_sine_samples[:,0], transformed_sine_samples[:,1], color='#70008A', s=10)\n",
    "plt.plot([0, 1], [sine_y_left, sine_y_right], color='#ff0000', linewidth=3)\n",
    "plt.locator_params(axis='x', nbins=4)\n",
    "plt.title('line in transformed data')\n",
    "\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.scatter(sine_x_vals, sine_y_vals, color='#70008A', s=10)\n",
    "plt.locator_params(axis='x', nbins=4)\n",
    "plt.plot([0, 1], [sine_y_left, sine_y_right], color='#ff0000', linewidth=3)\n",
    "plt.title('data and computed line')\n",
    "\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.scatter(sine_x_vals, sine_y_vals, color='#70008A', s=10)\n",
    "plt.locator_params(axis='x', nbins=4)\n",
    "plt.plot(inverse_line[:,0], inverse_line[:,1], color='#ff0000', linewidth=3)\n",
    "plt.title('inverse line')\n",
    "\n",
    "file_helper.save_figure('inverse-demo-2')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
